A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system
R Griesse, S Volkwein - SIAM Journal on Control and Optimization, 2005 - SIAM
R Griesse, S Volkwein
SIAM Journal on Control and Optimization, 2005•SIAMThis paper is concerned with optimal boundary control of an instationary reaction-diffusion
system in three spatial dimensions. This problem involves a coupled nonlinear system of
parabolic differential equations with bilateral as well as integral control constraints. We
include the integral constraint in the cost by a penalty term whereas the bilateral control
constraints are handled explicitly. First-and second-order conditions for the optimization
problem are analyzed. A primal-dual active set strategy is utilized to compute optimal …
system in three spatial dimensions. This problem involves a coupled nonlinear system of
parabolic differential equations with bilateral as well as integral control constraints. We
include the integral constraint in the cost by a penalty term whereas the bilateral control
constraints are handled explicitly. First-and second-order conditions for the optimization
problem are analyzed. A primal-dual active set strategy is utilized to compute optimal …
This paper is concerned with optimal boundary control of an instationary reaction-diffusion system in three spatial dimensions. This problem involves a coupled nonlinear system of parabolic differential equations with bilateral as well as integral control constraints. We include the integral constraint in the cost by a penalty term whereas the bilateral control constraints are handled explicitly. First- and second-order conditions for the optimization problem are analyzed. A primal-dual active set strategy is utilized to compute optimal solutions numerically. The algorithm is compared to a semismooth Newton method.
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